UV Wrapping not correct - it takes the upper side, but is not the same expected result
He's using 2.8, He must have used a cylinder to make his handle, by default cylinders are already correctly unwrapped in 2.8, as shown in the video, it's not the case in 2.7.
The best thing you can do I guess is to choose a front orthographic view, unwrap with the Cylinder Projection option, then select the top and bottom circles, simply unwrap. Now scale and move the UV islands the way you want.